Answer:
12 feet and 4 feet
Step-by-step explanation:
12 times 4 is 48
and the perimeter is 12 times 2 and 4 times 2 which is 32
hope this helped :D
A swimming pool has a diameter of 24 feet. What is the minimum amount of fabric needed to cover the pool if the cover must hang off by 1 foot all around the pool?
Answer:
531.167 ft²
Step-by-step explanation:
Given data
Dimension of pool
Diameter =24ft
Radius =12ft
If the cover must hang by 1ft around, then the diameter is 26ft
Radius =13ft
Area of cover = πr²
Substitute
Area = 3.142*13²
Area =3.143*169
Area =531.167 ft²
Hence the minimum area is 531.167 ft²
A.)90
B.)41
C.)15
D.)83
Answer:
D
Step-by-step explanation:
∠ABC= ∠DBE (vert. opp. ∠s)
(6x -7)°= (4x +23)°
6x -7= 4x +23
Being x terms to 1 side, constant to the other:
6x -4x= 23 +7
Simplify:
2x= 30
Divide both sides by 2:
x= 15
Substituting the value of x:
m∠ABC
= 6(15) -7
= 83
What is an equation of the line that passes through the points
(
0
,
−
4
)
(0,−4) and
(
−
4
,
6
)
(−4,6)?
Answer:
[tex]y=-\frac{5}{2}x-4[/tex]
Step-by-step explanation:
[tex]slope=\frac{6-(-4)}{-4-0}=\frac{10}{-4}=-\frac{5}{2}[/tex]
[tex]y-6=-\frac{5}{2}[x-(-4)] \\\\y-6=-\frac{5}{2} (x+4)\\\\y-6=-\frac{5}{2}x -10\\\\y=-\frac{5}{2}x-4[/tex]
Jake buys an oven and discovers that its temperature can vary out to 2.5 Fahrenheit from his settings. If Jake set the temperature to 345 Fahrenheit to bake a cake, from an inequality to represent the possible temperatures of the oven, tea, and degrees Fahrenheit. Then determine the range of possible temperatures when the oven is set at 345 Fahrenheit. Select a correct any quality and range on the table
Answer:
Answer in the image
Find the mean absolute deviation in the following data set: 23, 42, 36, 63, 31
Answer:
39.2 is the mean
the deviation is 15.2
Step-by-step explanation:
the mean of a set of numbers is the sum divided by the number of terms = 39.2
the deviation measures the spread of a data distribution of the sample = 15.2
Answer:
10.8
Step-by-step explanation:
To find the mean absolute deviation, first you need to find the mean. To find the mean, add up 23 + 42 + 36 + 63 + 31 and you'll get 195. Divide 195 by the total of numbers, which is 5, and you'll get 39.
After finding the mean, you need to find the distance between the mean, which is 39, and the numbers given. 23 is 16, 42 is 3, 63 is 24, 31 is 8, and 36 is 3. Then, you'll need to calculate the mean of the distances that you got.
16 plus 3 plus 24 plus 8 plus 3 = 54. Once you got this, divide 54 by the total of numbers, which is 5, and you'll get 10.8.
this is the question I need help with
Answer:
brainllest if right
b
Step-by-step explanation:
If 8n = -40, then n =
Answer:
n=-5
Step-by-step explanation:
Answer:
Step-by-step explanation:
8n=-40
n=-40/8
n=-5
Given complex numbers z^1= 12 + 6i and 2=-8+ 2i, find z^1+ z^2.
a.20 +4i
b.-4+4i
c. 10 - 2i
d. 4+8i
Answer:
answer is a 20+4i
Step-by-step explanation:
PLS HELP ILL MARK AS BRAINLESS
Answer:
D. The trench has become shallower because -32 is farther from 0 on a number line than -27
Answer: D
Step-by-step explanation: -27 is closer to zero than -32. Since these numbers were negative and the depth of the trench went from -32 to -27, we can assume that the trench had gotten more shallow.
I hope this helps!
what is the answer help me pls ASAP
Consider the transformation f(x) = 1/5 (5^1/2+3) - 6
a) Describe the transformations that are applied to the base function.
b) State the y-intercept.
c) State the equation for the asymptote.
d) State the domain and range.
. Determine f(4.5) for the function f(x) = 3x - 5 *
Algebra
f(4.5)=8.5
Plug in x as 4.5 and multiply it with 3. Then subtract 5 from the remaining result.
Answer:
f(4.5) = 8.5
Step-by-step explanation:
f(4.5) = 3x - 5
f(4.5) = 3(4.5) - 5
f(4.5) = 13.5 - 5
f(4.5) = 8.5
Hope that helped! You have to substitute x with 4.5 and then solve.
Ashley has baked 17 cakes for a bake sale. She can bake 2 cakes with each additional stick of butter
she buys. How many additional sticks of butter does she need in order to make 41 cakes?
WRITE THE EQUATION THEN SOLVE PLEASEEEE. THANK YOU SO MUCH
Answer:
12
Step-by-step explanation:
Find the diameter of the circle. Assume the leg of the triangle is tangent to the circle. Round any decimals to the nearest tenth.
Answer:
8.7 units
Step-by-step explanation:
Given is a right angled triangle (because the segment with 5 units length is tangent to circle. Tangent is perpendicular to RADIUS or diameter)
Let the length of the diameter be d units
By Pythagoras Theorem:
[tex]d = \sqrt{ {10}^{2} - {5}^{2} } \\ = \sqrt{100 - 25} \\ = \sqrt{75} \\ = 8.66025404 \\ = 8.7 \: units[/tex]
how do you find circumstance of a circle using the area? please help!
Answer:
Step-by-step explanation:
The formula C = 2√πA is designed to find a circle's circumference using the area (A). Alternatively, you can solve the equation A = πR2 in reverse to find R, then plug R into the circumference equation.
What is the surface area of this right cone?
Answer:
Step-by-step explanation:
Slant height s = 12
Radius r = 8
Lateral area of cone = πrs = 96π units²
Base area of cone = πr² 64π units²
Surface area = 96π + 64π = 160π units²
Find (from (3)
f(x) = x^2 - x
Answer:
I think the answer is 6.......
Find the area of this circle. Use 3.14 for . 84in
Answer:
22155.84 in
Step-by-step explanation:
r = 84 in
π = 3.14
then area if circle = r² × π
… A = 84² × π = 22155.84 = ( 22.15584 min )
Question I need to Answer: How many beats can a heart pound in 20 minutes?
Answer:
1300
Step-by-step explanation:
4 times 5 = 20
260 times 5 = 1300
Answer:
1300 times
Step-by-step explanation:
195 is is 3 X 65 so dividing 195 by 3 gets you 65
65 X 20 = 1300
Which is the domain of the function f(x) =
12
- 2?
Vx+4
O A. x20
O
B. x>-4
o
C. x>-2
D. x>-4
E. all real numbers
The domain of the function is x> -4.
The correct option is B.
We have the function
f(x) = 12/ √(x+ 4) - 2
Now, putting f(x) = 0
12/ √(x+ 4) - 2 = 0
12 - 2√(x+ 4) = 0
-2√(x+ 4) = -12
√(x+ 4) = 6
Taking Square on both side we get
x+ 4 = ±36
x = ± 36 - 4
x = 32 or x= -40
Thus, the domain of the function is x> -4.
Learn more about Function here:
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Trigonometry, Law of Cosines.
Select the angle that correctly completes the law of cosines for this triangle.
Answer:
○ C. [tex]\displaystyle 74°[/tex]
Step-by-step explanation:
[tex]\displaystyle c^2 + b^2 - 2cb\:cos∠A = a^2[/tex]
In the EDGE formula of the Law of Cosines, whatever squared edge term is on the outside of the equivalence symbol, its angle measure is what you write next to the trigonometric function, if you understand the formula written above.
I am joyous to assist you at any time.
What are the roots of the equation x^2+8x+32=0 in simplest a+bi form?
Answer:
x = -4 ± i4
Step-by-step explanation:
This is a quadratic equation with coefficients {1, 8, 32}. We apply the quadratic formula to solve for x. The first step is to find the 'discriminant,' b^2 - 4 ac, which here is (8)^2 - 4(1)(32), or 64 - 128, or -64.
A negative discriminant indicates that this quadratic has two unequal complex roots.
-b ± √(b^2 - 4ac)
The formula is x = ----------------------------
2a
which, when evaluated at a = 1, b = 8 and c= 32, yields
-8 ± √(-64)
The formula is x = ----------------------------
2(1)
or:
-8 ± i√64
The formula is x = ----------------- = x = -4 ± i4
2
how do I multiply and divided exponent denominator and numerator
9. A building 62 feet tall casts a shadow 21 meters long. At what angle is the sun shining on the building?
A. 19.80
B. 18.71
C. 70.20
D. 71.29
First, we imagine a right triangle. Second, we are given that the building is 62 feet tall. Since the height of building is vertical straight - that means the height is opposite side of triangle. It also casts a shadow 21 meters long. Shadow should be the adjacent side because it casts on the ground and not on the air.
If we imagine the right triangle + the problem in our head, we'd get the triangle that the opposite side is 62 feet tall and the adjacent side is 21 meters long.
Use the tangent ratio to find the angle of sun shining.
[tex] \large \boxed{ \tan \theta = \frac{opposite}{adjacent} }[/tex]
Substitute adjacent = 21 and opposite = 62 in the ratio.
[tex] \large{tan \theta = \frac{62}{21} }[/tex]
For this part, you might need a calculator or trigonometric table because some values cannot be exactly found.
From the equation, we should get 71.288 which we round the answer to nearest hundreth and the answer would be 71.29
Answer
The answer is 71.29Answer:
71.29°
Step-by-step explanation:
By question its given that , a 62 feet tall tree cast a shadow of 21 m long. We need to find the angle at which the sun is shining on the building .
For this we gonna imagine a right angle triangle . Where , the length of the shadow will be the base of the triangle and the height of the building will be the perpendicular on the triangle .
Here since we have got perpendicular and base , we can use the ratio of tan . We know that tan is defined as perpendicular by base , that is ,
[tex]\implies tan \theta =\dfrac{perpendicular}{base}[/tex]
where theta is the angle between the Ray of the the sun and the the shadow of the building.Plug in the respective values , we have ,
[tex]\implies tan \theta =\dfrac{62}{21} \\\\\implies\theta = tan^{-1}\bigg( \dfrac{62}{21}\bigg) \\\\\implies \underline{\underline{\theta = 71.29^o }}[/tex]
Hence the required answer is 71.29° .
Find the circumference of a circle with diameter,
d
= 7.18m.
Give your answer rounded to 2 DP.
Answer:
C = 22.56
Step-by-step explanation:
The equation for the circumference of a circle is [tex]C=2\pi r[/tex].
The radius is half the diameter so [tex]r=\frac{7.18}{2}=3.59[/tex]
Plug the radius into the equation.
[tex]C=2*\pi *3.59[/tex]
[tex]C=22.55664[/tex]
Given:
Diameter of circle = 7.18 m
To find:
Circumference of the circle
Steps:
We know that radius is equal to half of the diameter
r = d/2
r = 7.18/2
r = 3.59 m
Now circumference is equal 2πr
Circumference = 2πr
Circumference = 2 × 3.14 × 3.59 (taking pi as 3.14)
Circumference = 6.28 × 3.59
Circumference = 22.5452
Circumference ≈ 22.55 meters
Therefore, the circumference of the circle is approximately 22.55 meters
HAPPY TO HELP :)
If you need any more help, feel free to ask
Which negative angle is equivalent to 285 degrees?
A.-85 degrees
B.-95 degrees
C.-65 degrees
D. -75 degrees
By definition of coterminal angles, the negative angle that is equivalent to an angle of 285° is equal to - 75° degrees. (Correct choice: D)
How to find a negative coterminal angle?
In this problem we must determine a negative angle coterminal to a given angle, two angles are coterminal when both have the same direction. Given that a complete revolution is done each 360°, we can derive an expression for angles coterminal to a given one:
θ' = θ + i · 360° (1)
Where i is the index of the coterminal angle.
If we know that θ = 285° and i = - 1, then the negative angle is:
θ' = 285° + (- 1) · 360°
θ' = - 75°
By definition of coterminal angles, the negative angle that is equivalent to an angle of 285° is equal to - 75° degrees. (Correct choice: D)
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pls help in the middle of my final lol
Answer:
b) 2
Step-by-step explanation:
both angles have the same values, they are technically opposites.
Set your formula up as
130 = 66x - 2
130 + 2 = 66x
132/66 = x
2 = x
I would really appreciate someone helping me with this one.
About 20,000 white and brown beans were mixed in a bag. You take out 400 beans randomly from the bag. Of these, 220 are brown and 180 are white. How many white beans should be in the bag from the beginning?
Answer:
9,000
Step-by-step explanation:
180/400 × 20,000 = 9,000
Answer:
9,000
Step-by-step explanation:
180÷400= 0.45
0.45×20,000= 9,000
Help me please I really need help
Answer:
[tex]17\sqrt{2}[/tex] ft
Step-by-step explanation:
take angle b as reference angle
using sin rule
sin 45 = opposite / hypotenuse
[tex]\frac{1}{\sqrt{2} }[/tex] = 17 / BC
BC =17 / [tex]\frac{1}{\sqrt{2} }[/tex]
BC = 17 * [tex]\sqrt{2}[/tex]
BC = [tex]17\sqrt{2}[/tex] ft
Answer:
BC = 17[tex]\sqrt{2}[/tex] ft
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{17}{BC}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
BC = 17[tex]\sqrt{2}[/tex] ft
The point D(-4,-2) Is rotated 180° counterclockwise around the origin. What are the coordinates of the resulting point, D' ?
Answer:
Step-by-step explanation:
use formula
A(x,y)=A'(-x,-y)
D(-4,-2)=D'(4,2)
